2013137576486400
2,013,137,576,486,400 is an even composite number composed of seven prime numbers multiplied together.
2013137576486400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 2013137576486400:
29 × 3 × 52 × 7 × 135 × 23 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 23 × 877)See below for interesting mathematical facts about the number 2013137576486400 from the Numbermatics database.
Names of 2013137576486400
- Cardinal: 2013137576486400 can be written as Two quadrillion, thirteen trillion, one hundred thirty-seven billion, five hundred seventy-six million, four hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.0131375764864 × 1015
Factors of 2013137576486400
Divisors of 2013137576486400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 23 24 25 26 28 30 32 35 39 40 42 46 48 50 52 56 60 64 65 69 70 75 78 80 84 91 92 96 100 104 105 112 115 120 128 130 138 140 150 156 160 161 168 169 175 182 184 192 195 200 208 210 224 230 240 256 260 273 276 280 299 300 312 320 322 325 336 338 345 350 364 368 384 390 400 416 420 448 455 460 480 483 507 512 520 525 546 552 560 575 598 600 624 640 644 650 672 676 690 700 728 736 768 780 800 805 832 840 845 877 896 897 910 920 960 966 975 1014 1040 1050 1092 1104 1120 1150 1183 1196 1200 1248 1280 1288 1300 1344 1352 1365 1380 1400 1456 1472 1495 1536 1560 1600 1610 1664 1680 1690 1725 1754 1792 1794 1820 1840 1920 1932 1950 2028 2080 2093 2100 2184 2197 2208 2240 2275 2300 2366 2392 2400 2415 2496 2535 2560 2576 2600 2631 2688 2704 2730 2760 2800 2912 2944 2990 3120 3200 3220 3328 3360 3380 3450 3508 3549 3584 3588 3640 3680 3840 3864 3887 3900 4025 4056 4160 4186 4200 4225 4368 4385 4394 4416 4480 4485 4550 4600 4732 4784 4800 4830 4992 5070 5152 5200 5262 5376 5408 5460 5520 5600 5824 5888 5915 5980 6139 6240 6279 6400 6440 6591 6656 6720 6760 6825 6900 7016 7098 7176 7280 7360 7475 7680 7728 7774 7800 8050 8112 8320 8372 8400 8450 8736 8770 8788 8832 8960 8970 9100 9200 9464 9568 9600 9660 9984 10140 10304 10400 10465 10524 10752 10816 10920 10985 11040 11200 11401 11648 11661 11776 11830 11960 12075 12278 12480 12558 12675 12800 12880 13155 13182 13440 13520 13650 13800 14032 14196 14352 14560 14720 14950 15379 15456 15548 15600 16100 16224 16640 16744 16800 16900 17472 17540 17576 17664 17745 17920 17940 18200 18400 18417 18928 19136 19200 19320 19435 19968 20171 20280 20608 20800 20930 21048 21632 21840 21925 21970 22080 22400 22425 22802 23296 23322 23660 23920 24150 24556 24960 25116 25350 25760 26310 26364 26880 27040 27209 27300 27600 28064 28392 28561 28704 29120 29440 29575 29900 30695 30758 30912 31096 31200 31395 32200 32448 32955 33280 33488 33600 33800 34203 34944 35080 35152 35328 35490 35880 36400 36800 36834 37856 38272 38400 38640 38870 40342 40560 41216 41600 41860 42096 43264 43680 43850 43940 44160 44800 44850 45604 46137 46592 46644 47320 47840 48300 49112 49920 50232 50531 50700 51520 52325 52620 52728 53760 54080 54418 54600 54925 55200 56128 56784 57005 57122 57408 58240 58305 58880 59150 59800 60513 61390 61516 61824 62192 62400 62790 64400 64896 65775 65910 66976 67200 67600 68406 69888 70160 70304 70980 71760 72800 73600 73668 75712 76544 76895 77280 77740 79807 80684 81120 81627 82432 83200 83720 84192 85683 86528 87360 87700 87880 88320 88725 89600 89700 91208 92085 92274 93288 94640 95680 96600 97175 98224 99840 100464 100855 101062 101400 103040 104650 105240 105456 108160 108836 109200 109850 110400 112256 113568 114010 114244 114816 116480 116610 118300 119600 121026 122780 123032 123648 124384 124800 125580 128800 129792 131550 131820 133952 134400 135200 136045 136812 139776 140320 140608 141197 141960 142805 143520 145600 147200 147336 148213 151424 151593 153088 153475 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60490912755 61087470080 62041961800 62519800512 64122872320 64523640272 64739438400 65124792200 65450860800 65585195520 67329015936 68068895232 68381031810 69132471720 70134391600 70485542400 70905099200 71733807600 72939767264 73741303168 73987929600 74450354160 74893511030 76359337600 76516061440 78149750640 79413711104 80153590400 80654550340 81981494400 83359734016 84161269920 85086119040 86319251200 86415589650 88287763200 89772021248 89872213236 91174709080 91631205120 91819273728 92176628960 93062942700 95645076800 96184308480 96785460408 97687188300 99267138880 99803558400 100818187925 103583101440 104199667520 104850915442 105201587400 106357648800 109308659200 109409650896 110611954752 112215026560 112340266545 113448158720 113968386350 114539006400 114774092160 115220786200 119120566656 119829617648 120230385600 120981825510 124083923600 125039601024 129047280544 129478876800 130249584400 130901721600 134658031872 136762063620 138264943440 140268783200 141810198400 143467615200 145879534528 147482606336 148900708320 149787022060 152718675200 153032122880 156299501280 157276373163 158827422208 160307180800 161309100680 163962988800 166719468032 168322539840 170172238080 170952579525 172638502400 172831179300 176575526400 179744426472 182349418160 183262410240 184353257920 186125885400 187233777575 191290153600 192368616960 193570920816 195374376600 198534277760 201636375850 208399335040 209701830884 210403174800 212715297600 218819301792 221223909504 224430053120 224680533090 227936772700 229078012800 229548184320 230441572400 238241133312 239659235296 240460771200 241963651020 248167847200 250079202048 258094561088 258957753600 260499168800 262127288605 269316063744 273524127240 276529886880 280537566400 283620396800 286935230400 291759069056 294965212672 297801416640 299574044120 302454563775 305437350400 312599002560 314552746326 320614361600 322618201360 327925977600 336645079680 340344476160 341905159050 345662358600 359488852944 364698836320 368706515840 372251770800 374467555150 382580307200 387141841632 390748753200 397068555520 403272751700 416798670080 419403661768 420806349600 425430595200 437638603584 442447819008 448860106240 449361066180 455873545400 458156025600 459096368640 460883144800 476482266624 479318470592 480921542400 483927302040 496335694400 500158404096 516189122176 517915507200 520998337600 524254577210 547048254480 553059773760 561075132800 561701332725 567240793600 573870460800 583518138112 595602833280 599148088240 604909127550 625198005120 629105492652 645236402720 673290159360 683810318100 691324717200 718977705888 729397672640 737413031680 744503541600 748935110300 765160614400 774283683264 781497506400 786381865815 794137111040 806545503400 833597340160 838807323536 841612699200 850861190400 875277207168 884895638016 898722132360 911747090800 916312051200 921766289600 958636941184 961843084800 967854604080 992671388800 1032378244352 1041996675200 1048509154420 1094096508960 1106119547520 1122150265600 1123402665450 1147740921600 1167036276224 1191205666560 1198296176480 1209818255100 1250396010240 1258210985304 1290472805440 1310636443025 1346580318720 1367620636200 1382649434400 1437955411776 1458795345280 1474826063360 1489007083200 1497870220600 1548567366528 1562995012800 1572763731630 1613091006800 1677614647072 1683225398400 1701722380800 1750554414336 1797444264720 1823494181600 1843532579200 1917273882368 1935709208160 1985342777600 2064756488704 2083993350400 2097018308840 2188193017920 2212239095040 2244300531200 2246805330900 2295481843200 2382411333120 2396592352960 2419636510200 2500792020480 2516421970608 2580945610880 2621272886050 2735241272400 2765298868800 2875910823552 2917590690560 2978014166400 2995740441200 3097134733056 3125990025600 3145527463260 3226182013600 3355229294144 3366450796800 3501108828672 3594888529440 3646988363200 3687065158400 3834547764736 3871418416320 3931909329075 3970685555200 4167986700800 4194036617680 4376386035840 4424478190080 4493610661800 4793184705920 4839273020400 5032843941216 5161891221760 5242545772100 5470482544800 5530597737600 5751821647104 5835181381120 5956028332800 5991480882400 6194269466112 6251980051200 6291054926520 6452364027200 6710458588288 6732901593600 7189777058880 7293976726400 7374130316800 7742836832640 7863818658150 8388073235360 8752772071680 8987221323600 9586369411840 9678546040800 10065687882432 10323782443520 10485091544200 10940965089600 11061195475200 11503643294208 11912056665600 11982961764800 12503960102400 12582109853040 12904728054400 13420917176576 14379554117760 14587953452800 15485673665280 15727637316300 16776146470720 17505544143360 17974442647200 19172738823680 19357092081600 20131375764864 20970183088400 21881930179200 22122390950400 23965923529600 25164219706080 25809456108800 26841834353152 28759108235520 29175906905600 30971347330560 31455274632600 33552292941440 35948885294400 38714184163200 40262751529728 41940366176800 43763860358400 47931847059200 50328439412160 51618912217600 57518216471040 62910549265200 67104585882880 71897770588800 77428368326400 80525503059456 83880732353600 87527720716800 95863694118400 100656878824320 125821098530400 134209171765760 143795541177600 154856736652800 167761464707200 201313757648640 251642197060800 287591082355200 335522929414400 402627515297280 503284394121600 671045858828800 1006568788243200 2013137576486400
- Sum of all divisors σ(n): 8601453409747968
- Sum of proper divisors (its aliquot sum) s(n): 6588315833261568
- 2013137576486400 is an abundant number, because the sum of its proper divisors (6588315833261568) is greater than itself. Its abundance is 4575178256775168
Bases of 2013137576486400
- Binary: 1110010011011110000000111100010000101100110000000002
- Hexadecimal: 0x726F01E216600
- Base-36: JTLIMVD91C
Squares and roots of 2013137576486400
- 2013137576486400 squared (20131375764864002) is 4052722901861536010169384960000
- 2013137576486400 cubed (20131375764864003) is 8158688760824462910614558103131645804544000000
-
The
square root of 2013137576486400 is 44868001.6992778497 -
The
cube root of 2013137576486400 is 126267.3749557241
Scales and comparisons
How big is 2013137576486400?- 2,013,137,576,486,400 seconds is equal to 64,011,547 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 2,013,137,576,486,400 would take you about one hundred ninety-two million, thirty-four thousand, six hundred forty-three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 2013137576486400 cubic inches would be around 10522.3 feet tall.
Recreational maths with 2013137576486400
- 2013137576486400 backwards is 0046846757313102
- The number of decimal digits it has is: 16
- The sum of 2013137576486400's digits is 57
- More coming soon!
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"Number 2013137576486400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 2013137576486400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/2013137576486400/
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The information we have on file for 2013137576486400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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